Answer:
[tex]y = \frac{1}{3}x + 3[/tex]
Step-by-step explanation:
Parallel lines have same slope
y = 1/3x - 4
m =[tex]\frac{1}{3}\\[/tex] and the line passes through (-3, 2)
Equation: y - y₁ = m(x - x₁)
[tex]y - 2 = \frac{1}{3}(x - [-3])\\\\y -2 = \frac{1}{3}(x+3)\\\\\\y - 2 = \frac{1}{3}x+\frac{1}{3}*3\\\\y -2=\frac{1}{3}x +1\\\\y =\frac{1}{3}x + 1+2\\\\y = \frac{1}{3}x + 3[/tex]